Given that `t_(n+1) = ^5t_n - 8`, `t_1 = 3`, prove by method of induction that `t_n = 5^(n-1) + 2`

Prove by Method of Induction n^2 < 2^n , AA n in N and n ge 5

By method of induction, prove that 2^n > n , for all n in N .

By method of induction prove that 1+2+3+...+n = (n(n+1)) /2, for all n in N

Prove the following by the method of induction for all n in N : (2^(3n) -1) is divisible by 7.

Prove the following by the method of induction for all n in N : (2^(4n) -1) is divisible by 15.

Prove the following by the method of induction for all n in N : Prove by methode of Induction [[1,2],[0,1]]^n = [[1,2n],[0,1]] AA n in N

Prove by method of induction 15^(2n-1) + 1 is divisible by 16, for all n in N

Prove the following by the method of induction for all n in N : Given t_(n+1) = 5t_(n+4), t_1 = 4. P.T t_n = 5^(n -1)

Prove the following by the method of induction for all n in N : 3^n - 2n - 1 s divisible by 4.

Prove the following by the method of induction for all n in N : 1^2 + 3^2 + 5^2 + ... + (2n - 1)^2 = n/3 (2n -1) (2n +1)